Tony Mowbray was a frustrated figure as Rovers missed the chance to get a crucial three points at Carrow Road.
Against ten men for 70 minutes of the match, Rovers rallied from going behind to Cameron Jerome's early strike, to lead thanks to a brace from substitute Lucas Joao.
But Rovers couldn't see the game out with Norwich forward Jerome firing home his second of the match to ensure the points were shared.
"It was a huge effort to get it to 2-1, but ultimately the frustration is that we only ended up with a point from being in total control," said the manager.
"I don't think they got anywhere near our box in the second half and from being 2-1 up I call it game management. We still had people overlapping down the outside trying to get in behind them when really we just have to keep the ball moving across the pitch and try and draw them out and finish the game with another goal. We haven't learnt that yet, we've not done that scenario yet.
"But it is a huge frustration for us to lose two goals today against ten men for a long spell.
"But there was a lot of good positive stuff, we did control the game, we weren't overly threatened by a Norwich team that were in the Premier League last year.
"I thought we managed most of the game well but we let ourselves down in that last ten minutes after going in front.
"The game should have been won at 2-1, there was no way back, they couldn't get over the halfway line, yet we allowed them to score."
Rovers are back in action this Tuesday night when they take on Fulham at Craven Cottage.
Tickets for the match are on open sale priced at £20 for Adults, £15 for Seniors 65+ and 18-21 year-olds, £10 for fans aged 17 and under.
Book online today at www.eticketing.co.uk/onerovers